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The corner points of the feasible region...

The corner points of the feasible region determined by the following system of linear inequalities: : `2x + y le 10, x + 3y le 15, x, yge0` are `(0, 0), (5,0), (3, 4)` and `(0, 5)`. Let `Z = px + qy`, where `p, q > 0`, Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is:

A

`p=3q`

B

`p=2q`

C

`p=q`

D

`q=3p`

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